Unformatted text preview: 3 . 19.3 g/cm 3 = 19.3 g/cm 3 × (1 kg/1000 g) × (100 cm/1 m) 3 = 19.3 × 10 3 kg/m 3 Density is defined as mass divided by volume, thus the volume of a gold atom is V = m/ρ = (3.27 × 1025 ) / (19.3 × 10 3 ) = 1.69 × 1029 m 3 b) What is the distance between the centers of adjacent atoms? The distance between the centers of adjacent atoms is twice the radius of an atom, which is equal to the diameter. So we have V = (4π/3) × (d/2) 3 = πd 3 /6 d = ⇒ 3 √(6V/π) = 3 √(6 × 1.69 × 1029 /π) = 3.18 × 1010 m...
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 Fall '08
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 Physics, Work, Greek loanwords, Fundamental physics concepts, Tomoyuki Nakayama

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